22. Discuss the continuity of the cosine, cosecant, secant and cotangent functions.
We, know that if two function g(x) and h(x) are continuous then
Lets take g(x) = sin x and h(x) = cos x
Let suppose x = c + h
if
Hence, function is a continuous function
Now,
h(x) = cos x
Let suppose x = c + h
if
Hence, the function is a continuous function
We proved independently that sin x and cos x is a continuous function
So, we can say that
cosec x = is also continuous except at
sec x = is also continuous except at
cot x = is also continuous except at